Information on Result #1187686
Digital (195, 224, 74902)-net over F4, using net defined by OOA based on linear OOA(4224, 74902, F4, 29, 29) (dual of [(74902, 29), 2171934, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(4224, 1048629, F4, 29) (dual of [1048629, 1048405, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4224, 1048639, F4, 29) (dual of [1048639, 1048415, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(4211, 1048576, F4, 29) (dual of [1048576, 1048365, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4161, 1048576, F4, 22) (dual of [1048576, 1048415, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(4224, 1048639, F4, 29) (dual of [1048639, 1048415, 30]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (195, 223, 74902)-net over F4 | [i] | m-Reduction | |